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2288730 = 2352331107
BaseRepresentation
bin1000101110110001011010
311022021112210
420232301122
51041214410
6121015550
725311453
oct10566132
94267483
102288730
111323614
129245b6
136219a2
1443812a
15303220
hex22ec5a

2288730 has 64 divisors (see below), whose sum is σ = 5971968. Its totient is φ = 559680.

The previous prime is 2288723. The next prime is 2288731. The reversal of 2288730 is 378822.

2288730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2288730 is a nontrivial binomial coefficient, being equal to C(2140, 2).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2288731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21337 + ... + 21443.

It is an arithmetic number, because the mean of its divisors is an integer number (93312).

22288730 is an apocalyptic number.

2288730 is the 2139-th triangular number and also the 1070-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2288730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985984).

2288730 is an abundant number, since it is smaller than the sum of its proper divisors (3683238).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2288730 is a wasteful number, since it uses less digits than its factorization.

2288730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2288730 is about 1512.8549170360. The cubic root of 2288730 is about 131.7846580696.

The spelling of 2288730 in words is "two million, two hundred eighty-eight thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 31 46 62 69 93 107 115 138 155 186 214 230 310 321 345 465 535 642 690 713 930 1070 1426 1605 2139 2461 3210 3317 3565 4278 4922 6634 7130 7383 9951 10695 12305 14766 16585 19902 21390 24610 33170 36915 49755 73830 76291 99510 152582 228873 381455 457746 762910 1144365 2288730